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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 22, 1992 - Issue 2
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Original Articles

HIGHER-ORDER DIFFERENCING METHOD WITH A MULTIGRID APPROACH FOR THE SOLUTION OF THE INCOMPRESSIBLE FLOW EQUATIONS AT HIGH REYNOLDS NUMBERS

Constantine P. Tzanos Argonne National Laboratory, 9700 South Cass Avenue, Building 208, Argonne, Illinois, 60439
Pages 179-198 | Received 02 May 1991, Accepted 29 Jan 1992, Published online: 03 Apr 2007

Citations (13)

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Read on this site (4)

Yangyu Deng, Yakun Liu, Di Zhang, Jian Wu & Dong Zhang. (2023) Modified far-upwind reconstruction methods for the implementation of NVSF schemes on unstructured grids. Numerical Heat Transfer, Part B: Fundamentals 83:5, pages 292-322.
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N. Sekarapandian, Y. V. S. S. Sanyasiraju & S. Vengadesan. (2009) A Novel Semi-Explicit Spatially Fourth Order Accurate Projection Method for Unsteady Incompressible Viscous Flows. Numerical Heat Transfer, Part A: Applications 56:8, pages 665-684.
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E. Nobile. (1996) SIMULATION OF TIME-DEPENDENT FLOW IN CAVITIES WITH THE ADDITIVE-CORRECTION MULTIGRID METHOD, PART I: MATHEMATICAL FORMULATION. Numerical Heat Transfer, Part B: Fundamentals 30:3, pages 341-350.
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Tien-Mo Shih, M. M. Ohadi & Wei Liu. (1996) LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER (1992–1993). Numerical Heat Transfer, Part A: Applications 29:5, pages 441-484.
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Articles from other publishers (9)

Yan Wang & Yongbin Ge. (2018) High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems. Mathematical Problems in Engineering 2018, pages 1-11.
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Hamid Moghaderi & Mehdi Dehghan. (2017) Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations. Mathematical Methods in the Applied Sciences 40:4, pages 1170-1200.
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Hamid Moghaderi, Mehdi Dehghan & Masoud Hajarian. (2015) A fast and efficient two-grid method for solving d-dimensional poisson equations. Numerical Algorithms 72:3, pages 483-537.
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Hamid Moghaderi & Mehdi Dehghan. (2015) A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation. Mathematical Methods in the Applied Sciences 38:17, pages 3901-3922.
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Yin Wang & Jun Zhang. (2010) Fast and robust sixth-order multigrid computation for the three-dimensional convection–diffusion equation. Journal of Computational and Applied Mathematics 234:12, pages 3496-3506.
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Haiwei Sun, Ning Kang, Jun Zhang & Eric S. Carlson. (2003) A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation. Mathematics and Computers in Simulation 63:6, pages 651-661.
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Jun Zhang. (2003) Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes. Computers & Mathematics with Applications 45:1-3, pages 43-52.
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Lixin Ge & Jun Zhang. (2002) Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients. Journal of Computational and Applied Mathematics 143:1, pages 9-27.
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M. Tan, T. Farrant & W. G. Price. (1999) A cell boundary–element method for viscous laminar flow solutions. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 455:1992, pages 4277-4304.
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